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Connection between quadratic characters and quadratic twists of elliptic curves

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#number-theory #algebraic-number-theory #elliptic-curves #algebraic-curves
88
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Classification of $E(\mathbb{R})$ when $E$ is given by $y^2=x^3+ax+b$, $a,b\in\mathbb{R}$?

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#number-theory #elliptic-curves
470
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Elliptic Curve Discriminant

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#number-theory #elliptic-curves
63
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Homogeneous space of elliptic curve in Silverman's AEC

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#elliptic-curves #arithmetic-geometry #abelian-varieties
85
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Non-trivial $2$-torsion point on elliptic curves

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#elliptic-curves #arithmetic-geometry #abelian-varieties
427
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Is there an efficient formula for computing point halving on elliptic curves in $\operatorname{char}F=p\ne2$?

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#discrete-mathematics #elliptic-curves #cryptography
211
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Cuspidal cubic in characteristic 3 with no inflection points?

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#algebraic-geometry #elliptic-curves #plane-curves #positive-characteristic
51
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$E(\mathbb{F}_q)$ is a torsion group where $E$ is an elliptic curve?

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#elliptic-curves #arithmetic-geometry #abelian-varieties
191
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Very ample divisor on elliptic curves

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#algebraic-geometry #curves #elliptic-curves #schemes
62
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Isogeny, isomorphism and point correspondence between elliptic curve and its sextic twist

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#finite-fields #elliptic-curves #group-isomorphism
125
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Finite free resolutions of modules over coordinate ring of smooth elliptic curve over $\mathbb{C}$

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#ring-theory #commutative-algebra #homological-algebra #elliptic-curves #localization
68
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Montgomery Ladder for multiple scalars and a single point on Kummer line

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#number-theory #elliptic-curves #arithmetic-geometry
157
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How to find the generators for $y^2 = x^3 + 5x$

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#number-theory #elliptic-curves #mordell-curves
315
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Elementary exposition of the Picard group?

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#algebraic-geometry #elliptic-curves
138
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Reference request for genus one Riemann surface

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#complex-analysis #algebraic-topology #elliptic-curves #riemann-surfaces #hyperbolic-geometry

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